 | Charles Astor Bristed - 1852 - 470 Seiten
...rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 4. The angle at the centre of a circle is double of the angle at the circumference, upon the same base, that is, upon the same part of the circumference. 5. In a circle,... | |
 | University of Sydney - 1853 - 134 Seiten
...the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 8. The angle at the centre of a circle is double of the angle at the circumference upon the same base. Prove this, and thence shew that the angle in a semi circle is a... | |
 | Royal Military Academy, Woolwich - 1853 - 400 Seiten
...centre; that is, the centre is in CA. Therefore, if a straight line, etc. QED PROPOSITION XX. THEOR. The angle at the centre of a circle is double, of the angle at the circumference upon the same base, that is, upon the same part of the circumference. BOOK III. PROF.... | |
 | Euclides - 1853 - 146 Seiten
...5. The centre of the circle is in CA. Therefore, if a straight line, &e. QEU PROP. XX. — THEOREM. The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. Let ABC be a circle,... | |
 | Dugald Stewart - 1854 - 536 Seiten
...different quantities, and the connexions which exist between different relations. When we demonstrate that the angle at the centre of a circle is double of the angle at the circumference on the same base, we ascertain a relation between two quantities. When we demonstrate... | |
 | Dugald Stewart - 1854 - 538 Seiten
...different quantities, and the connexions which exist between different relations. When we demonstrate that the angle at the centre of a circle is double of the angle at the circumference on the same base, we ascertain a relation between two quantities. When we demonstrate... | |
 | John Hind - 1855 - 540 Seiten
...centre of the circle circumscribing the triangle ABC, we have OA=OB= ОС = the radius R : then, since the angle at the centre of a circle is double of the angle at the circumference upon the same base, we have, from Article (77), REGULAR POLYGONS. From this, it appears... | |
 | Euclides - 1856 - 168 Seiten
...therefore the square of EH is less than the square of EK, and the line EH than E K. LIX.— EUCLID III. 20. The angle at the centre of a circle is double of the angle at the circumference upon the same base ; that is, upon the same part of the circumference. Let ABC (Fig.... | |
 | Cambridge univ, exam. papers - 1856 - 252 Seiten
...line from a given point, either without or in the circumference, which shall touch a given circle. 11. The angle at the centre of a circle is double of the angle at the circumference, upon the same base, that is, upon the same part of the circumference. EUCLID. BOOKS... | |
 | John Playfair - 1856 - 346 Seiten
...that no other point which is not in CA, is the centre ; that is, the centre is in CA. PROP. XX. THEOR The angle at the centre of a circle is double of the angle at th» circumference, upon the same base, that is, upon the same part of the circumfer ence. Let ABC... | |
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The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. 
